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Finding the Fourth Proportional to 214,226.38, 321,022.80 and 202,244.35

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Solution

The fourth proportional to 214,226.38, 321,022.80 and 202,244.35 is: 303,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,226.38 : 321,022.80 = 202,244.35 : x
  2. Step 2: Convert to fraction form
    214,226.38/321,022.80 = 202,244.35/x
  3. Step 3: Cross multiply
    214,226.38x = 321,022.80 × 202,244.35
  4. Step 4: Simplify right side
    214,226.38x = 64,925,047,521.18
  5. Step 5: Solve for x
    x = 64,925,047,521.18/214,226.38
  6. Step 6: Final answer
    x = 303,067.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.